SOLUTION: the sum of two numbers is twenty. the difference of the squares of the two numbers is eighty. find the two numbers

Question 926862: the sum of two numbers is twenty. the difference of the squares of the two numbers is eighty. find the two numbers
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = first number
y = second number
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x + y = 20
xx - yy = 80
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y = 20 - x
xx - (20 - x)(20 - x) = 80
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xx - (400 - 40x + xx) = 80
xx - 400 + 40x - xx = 80
-400 + 40x = 80
40x = 480
x = 12
y = 20 - 12
y = 8
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answer:
x = 12
y = 8
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